# Are opposite angles equal in parallelograms?

## Are opposite angles equal in parallelograms?

Opposite Angles of a Parallelogram are equal Given: Parallelogram ABCD. We know that alternate interior angles are equal. By ASA congruence criterion, two triangles are congruent to each other. Hence, it is proved that the opposite angles of a parallelogram are equal.

## Does opposite sides of parallelogram are equal or not?

A parallelogram is a quadrilateral whose opposite sides are parallel. The opposite angles of a parallelogram are equal. The opposite sides of a parallelogram are equal. The diagonals of a parallelogram bisect each other.

Why are the opposite sides of a parallelogram equal?

In today’s lesson, we will show that the opposite sides of a parallelogram are equal to each other. A parallelogram is defined as a quadrilateral where the two opposite sides are parallel. We will show that in that case, they are also equal to each other.

### Is a parallelogram if both pairs of opposite angles are equal?

If one pair of opposite sides of a quadrilateral are parallel and congruent, then the quadrilateral is a parallelogram. If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram.

### What is the opposite angles of a parallelogram?

The opposite angles of a parallelogram are equal. The consecutive angles are supplementary. If one angle of a parallelogram is a right angle, then all the angles are right angles. The diagonals of a parallelogram bisect each other.

Is opposite angles are equal?

When two lines intersect, the opposite (X) angles are equal. In the diagram above, the two green angles are equal and the two yellow angles are equal. These X angles are called vertically opposite angles because they are opposite each other at a vertex.

#### Which statement is always true about the opposite angles of a parallelogram?

D. Opposite angles are congruent. Explanation:A parallelogram is a 4-sided polygon whose opposite sides are equal.

#### How many pairs of equal opposite angles are there in a parallelogram?

Two pairs
Two pairs of opposite angles are equal in measure. The diagonals bisect each other. One pair of opposite sides is parallel and equal in length. Adjacent angles are supplementary.

Are opposite angles of a parallelogram supplementary?

Are the Opposite Angles of a Parallelogram Supplementary? No, according to the theorems based on the angles of a parallelogram, the opposite angles are not supplementary, they are equal.

## What is opposite side and opposite angle?

In a right triangle, the hypotenuse is the longest side, an “opposite” side is the one across from a given angle, and an “adjacent” side is next to a given angle. We use special words to describe the sides of right triangles. The hypotenuse of a right triangle is always the side opposite the right angle.

## How do you measure the angle of a parallelogram?

If one angle of a parallelogram is a right angle,then all the angles are right angles

• Opposite angles of a parallelogram are equal (or congruent)
• Consecutive angles are supplementary angles to each other (that means they add up to 180 degrees)
• What is a real life example of a parallelogram?

Since the bug is moving in a moving bus,the bug is moving much faster relative to the ground than to the bus.

• Relative to the ground,the bug is in a combination of velocities.
• If the bus weren’t moving,the bug would cover the same distance on the bus as on the ground in a given interval of time.
• ### Are the diagonals of a parallelogram congruent?

The diagonals of a parallelogram are sometimes congruent. The diagonals of a rhombus are always perpendicular. The consecutive angles of a parallelogram are never complementary. A square is always a rhombus.

### How to find (a) side of a parallelogram?

h = height of the parallelogram; a = side of the parallelogram (AD) x = any angle between the sides of the parallelogram (∠DAB or ∠ADC) d 1 = diagonal of the parallelogram (p) d 2 = diagonal of the parallelogram (q) y = any angle between at the intersection point of the diagonals (∠DOA or ∠DOC) Note: In the above figure, DC = AB = b; AD = BC = a